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Finding the Fourth Proportional to 369,564.66, 510,219 and 242,462.16

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Solution

The fourth proportional to 369,564.66, 510,219 and 242,462.16 is: 334,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,564.66 : 510,219 = 242,462.16 : x
  2. Step 2: Convert to fraction form
    369,564.66/510,219 = 242,462.16/x
  3. Step 3: Cross multiply
    369,564.66x = 510,219 × 242,462.16
  4. Step 4: Simplify right side
    369,564.66x = 123,708,800,813.04
  5. Step 5: Solve for x
    x = 123,708,800,813.04/369,564.66
  6. Step 6: Final answer
    x = 334,741.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.